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Complete families of smooth space curves

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Olivier Benoist (Strasbourg)

  • SFB-Kolloquium
When Oct 30, 2014
from 03:30 pm to 04:30 pm
Where Mainz, 05-432 (Hilbertraum)
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Abstract. In this talk, we will study complete families of smooth space curves, that is complete subvarieties of the Hilbert scheme of smooth curves in P3. On the one hand, we will construct non-trivial examples of such families. On the other hand, we obtain necessary conditions for a complete family of smooth polarized curves to induce a complete family of non-degenerate smooth space curves. Both results rely on the study of the strong semistability of certain vector bundles.